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The electric intensity at a point 1 metr...

The electric intensity at a point 1 metre from the centre of a charged spherical conductor of radius 20 cm is `10^(5) N//C`. If the conductor is in a medium of permittivity `35.4 pF//m`, the surface density of charge on the conductor is

A

`88.5 mu C//m^(2)`

B

`22.125 mu C//m^(2)`

C

`14.16 mu C//m^(2)`

D

`177 muC//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`sigma =epsiE((r)/(R))^(2)=(35.4xx10^(-12))(10^(5))((1)/(1//5))^(2)`
`=35.4xx25xx10^(-7)=88.5xx10^(-6)C//m^(2)`
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Knowledge Check

  • The electric intensity at a point near a charged conductor of surface charge density sigma is

    A
    `E=sigma//in_(0)k`
    B
    `E=sigmain_(0)k`
    C
    `E=sigma//2in_(0)k`
    D
    `E=sigma^(2)`

  • The electric intensity at a pont near a charged conductor having a charge density sigma is

    A
    `(sigma)/(4kepsi_(0))`
    B
    `(sigma)/(2kepsi_(0))`
    C
    `(2sigma)/(kepsi_(0))`
    D
    `(sigma)/(kepsi_(0))`

  • The electric intensity at a point distant 1 m from the centre of a sphere of radius 25 cm in air is 10^(4)N//C . The surface density of the charge on the surface of sphere is

    A
    `1.416muC//m^(2)`
    B
    `2.416muC//m^(2)`
    C
    `1.446muC//m^(2)`
    D
    `2muC//m^(2)`

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